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Asset questions math for Grade 6,7,8 [comparing quantities]

Wednesday 18 January 2023

QUESTION

Sanjeev borrows Rs 25000 at 8%  per annum for 3 years. At the end  of 3 years, he pays Rs 19000 and a video camera. What is the value of the video camera?

ANSWER

                P= 25000
    
                R= 8%
   
                T = 3
             
          I = PRT/100
   
          I = ( 25000×8×3) ÷ 100

          I = 6000

              A = P + I

                 =25000+ 6000
         
                  =31000
       
     After 3 years he pay 19000+ video camera
           
      Value of the camera = 31000- 19000

                                          =12000


                                       









QUESTION

Amir buys 40balls for Rs. 2000. He sells 15 of these at a profit of 20%. He sells the remaining for Rs 40 each. What is the total gain % or loss%?

ANSWER

         Amir buys 40 balls for  Rs. 2000
                  Therefore, Cost of 1 ball = 2000/40 =50
                   He sells 15 balls for the profit=20%
         
                Let  Original price be 100
                           Profit be 20 % for the ball
                                             = 100+ 20=120

        Therefore selling price of 1 ball for profit
                                           =(120/100)*50
                                          = Rs. 60
            Selling price of 15 ball = 60* 15
                                                    =900

   He sells remaining ball for 40 each, 
          Remaining balls = 40-15=25
         The S.P of remaining balls= 25*40
                                                      =  1000 
     
     Therefore total selling price of 40 balls
                                                        = Rs.(1000+900)
                                                        =Rs.1900

        Here cost price of 40 balls is greater than selling price. Therefore it is a loss. 
                            Loss = 2000-1900
                                     = 100

                            Loss % =( 100/2000) *100
                                          =5 %


QUESTION

Sarika purchased 45 dozens of pens for Rs 3510. She sells 20 dozens at a profit of 15% and the remaining for 10% loss. What is her total loss% or profit %? 

ANSWER
     
             Cost price of 40 dozens of pen =Rs 3510

             Cost price of 1 dozen of pen= 3510/45
                                                             =78
             Therefore C. P of 20 dozens of pen= 20*78
                                                                   =1560
                            Profit of 20 dozens of pen is 15%

                         Let original price be 100
       
                            Profit of 15 % = 100+15
                                                    = 115
     Therefore selling price of 20 dozens of pen
                                                     = (115/100)*1560
                                                     =1794

          Cost price of remaining dozens of pen, 
                                ( i. e, 45-20=25)

                                          =25*78
                                          =1950

                Loss of 25 dozen is 10 %
            Let original price be 100
                     Loss of 10 %= 100-10
                                           = 90

      Therefore selling price of 25 dozens of pen 
                                  = (90/100)*1950
                                  =1755

        Therefore Total S. P= 1794+1755
                                          =3549
        So here S. P< C. P
                                Loss= 3549 -3510
                                        =39

                              Loss % =( 39/3510)*100
                                        
                                          = 1.11 %

 


QUESTION 


Anjali borrow Rs. 19000 at 6 % for 2 years. At the end of 2 years, she  pays Rs. 15000 and a gold ring to the money lender. What is the value of the gold ring? 

ANSWER

               Principal =19000
                   Rate = 6%
                  Year, T = 2

           Interest, I  = PRT /100
              = 19000 * 6* 2
              = 228000/ 100
             = 2280

        Amount,  A = principal + Interest
                            = 19000 + 2280
                            = 21280

     Anjali has to pay amount of 21280 but she only pays 15000 and a gold ring
     So the price of the gold ring will be
                                              = 21280 - 15000
                                              =6280


QUESTION

Heena  bought two fans  for Rs. 1200 each. She sold one at a loss of 5% and the other at a profit of 10 % . Find the selling price of each. Also find  out the total profit or loss?

ANSWER


          Overall C.P of each fan = Rs.1200
      
          One is sold at a loss of 5 %.

          This means if C.P is 100 then S.P is Rs 95.
   
          Therefore ,when C. P  is 1200,then S.P =Rs( 95/100 )*1200
      
          Also second fan is sold at a profit of 10%,\

         It means , if C.P is Rs.100, S.P is Rs 110

        Therefore , when C.P  is Rs 1200 , then S.P  =( 110/100) *1200

        Total  C.P = Rs .1200 + Rs.1200 = Rs 2400

        Total S.P  = Rs. 1140 + Rs. 1320 = Rs .2460

        Since total S.P > total C.P , a profit  of Rs. (2460 -2400)
                   
                                                                = Rs 60 has been made




                                                   

          

             

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